The probability of randomly selecting a red shirt from a basket of 24 T-shirts, where 12 are red, is 1/2 or 50%.
Explanation:The probability of randomly selecting a red shirt from the laundry basket can be calculated by dividing the number of red shirts by the total number of shirts in the basket. Given there are 24 T-shirts in total and 12 are red, the probability P(red) is 12 divided by 24, which can be simplified.
Here is the calculation:
Total number of T-shirts: 24Number of red T-shirts: 12Probability of selecting a red T-shirt: P(red) = Number of red T-shirts / Total number of T-shirts = 12 / 24After simplifying, P(red) = 1/2 or 50%.
Please look at the attachment to help me solve this problem!! It would be very much appreciated!!!
Answer:
C
Step-by-step explanation:
Angles on a straight line is 180
Answer:
pretty sure it's the third option.
Step-by-step explanation:
I've done this before.e
Lou has the first 4 encyclopedias lined up on a shelf, A, B, C, and D. If he picks two at random, what is the probability that he picks A first and B second?
A) 1/24 B) 1/6 C) ½ D) 1/12
Answer:
D
Step-by-step explanation:
Given:
Lou has the first 4 encyclopedias lined up on a shelf, A, B, C, and D.
To find: probability that he picks A first and B second if he picks two at random
Solution:
Total number of outcomes = [tex]4!=4(3)(2)(1)=24[/tex]
Favourable outcomes are ABCD, ABDC
Number of favourable outcomes = 2
probability that he picks A first and B second = Number of favourable outcomes / Total number of outcomes = [tex]\frac{2}{24}=\frac{1}{12}[/tex]
After how many seconds is your friend at a height of 4 feet
Graph the data set . Which kind of model best describes the data?
Quadratic
Linear
Cubic
Exponential
Answer:
exponencialy = e0.6931xStep-by-step explanation:
Mr.Molier is figuring out the semester averages for his history students. He can figure the average for 20 students in a hour. How long does it take him to figure out for each student?
Answer:
3 minutes per student
Step-by-step explanation:
60/20=3
Answer:
3 minutes per student.
Step-by-step explanation:
To solve this, we can first convert hours to minutes:
1 hour--> 60 minutes.
Since the problem states he can figure the average for 20 students in 1 hour, all we need to do is simply:
60÷20= 3 minutes per student.
A stained glass window has an area of 900 square inches.
a. One window design is made of rectangular stained glass pieces that are 5 inches by 3 inches. How many stained glass pieces are used in the window?
b. Another window design is made of square stained glass pieces that are 6 inches by 6 inches. How many stained glass pieces are used in the window?
Answer:
a. 60
b. 25
Step-by-step explanation:
Given that the stained glass window has an area of 900 square inches and this is made of smaller rectangular stained glass pieces, the number of smaller rectangular stained glass pieces used will be equal to the total area (900 square inches) to the area of the smaller rectangular piece.
The area A of the rectangular piece of length l and width w may be stated as
A = l * w
Hence given that
- One window design is made of rectangular stained glass pieces that are 5 inches by 3 inches, number of stained glass pieces are used in the window
= 900/(3 * 5)
= 60
- Another window design is made of square stained glass pieces that are 6 inches by 6 inches, number of stained glass pieces are used in the window
= 900/(6 * 6)
= 25
Answer:
a. 60 pieces
b. 25 pieces
Step-by-step explanation:
Hi, to answer this question we have to calculate the area of each rectangular stained glass.
Area = width x length
a.
5 x 3 = 15 square inches
Now we have to divide the area of the window by the area of each stained glass.
900/ 15 = 60 pieces
Same process for b
b.
6x6 = 36 square inches
900/36= 25 pieces
Feel free to ask for more if needed or if you did not understand something.
Answer all these get 100 points
Answer:
1. S
2. diameter
3. secant
4. central angle
5. minor arc
6. tangent
7. radius
8. semi circle
9. chord
10. major arc
Step-by-step explanation:
The volume of a sphere is 288 in3. What is the radius?
Answer:
[tex]4cm[/tex]
Step-by-step explanation:
[tex]v = \frac{4}{3} \pi \: r \\ \\ solving \: \: \: for \: \: \: radius \\ \\ r = (3 \frac{v}{4\pi} ) ^{ \frac{1}{3} } \\ \: \: \: \: = (3 \times \frac{288}{4 \times \pi} )^{ \frac{1}{3} } \\ \: \: \: \: ≈
4.0967[/tex]
What is the factored form of this expression?
x2 + 17x + 60
Answer:
( x + 5 ) ( x + 12 )
Step-by-step explanation:
hope it helps
Subtract the following polynomials.
(5x2+6)−(6x−5x2)
im bad at math ;-;
Answer:
First off if you want this answered make sure it's clear when your multiplying or using X
(5x^2+6)-(6x-5x^2)
5x^2 -- 5x^2 = 10x^2
10x^2 -6x + 6
please solve for x!
correct answers, please!
(x + 10) + (x + 10) = 90
90 - (10 + 10) = 70
70/2 = 35
x = 35
Have a great day!
Answer:
x = 35
Step-by-step explanation:
Since we know that this is a right angle, we know that the total has to equal 90 degrees. From there, we can make an equation:
(x+10) + ( x+10) = 90
2x +20 = 90
2x = 70
x = 35
Hope this helped and pls mark as brainliest!
~Luna
The diagram shows a wedge in the shape of a prism.
Angle BCF is a right angle.
A string runs diagonally across the wedge
from A to F.
Calculate the length A F.
Give your answer correct to 3 significant figures
By applying the Pythagorean theorem to both triangles and connecting them, we find that x is roughly 11.547 cm, establishing the relationship between the side lengths in these right triangles.
Let's explore the relationship between two right triangles, ABC and ACF, and calculate the value of x using the Pythagorean theorem.
Triangle ABC is a right triangle with sides BC and AB both measuring x cm. By applying the Pythagorean theorem (a^2 + b^2 = c^2), where c is the hypotenuse, in this case, AC, we find:
AC² = x² + x² = 2x²
This equation relates the lengths of the sides of triangle ABC.
Now, consider triangle ACF. It's also a right triangle with side CF measuring x cm and a hypotenuse AC, which is 20 cm long. Applying the Pythagorean theorem again:
20² = AC² + x²
Since we already established that AC² is 2x² from the first triangle, we can substitute it in:
20² = 2x² + x²
This equation connects the two triangles. To find the value of x, we need to solve this equation:
20² = 3x²
Now, isolate x:
x² = (20²) / 3
x² = 400/3
x = √(400/3)
x ≈ 11.547 cm
So, x is approximately 11.547 cm.
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This is timed pleaseeeeee hurry!!!!!! see picture
Saved
Becker and Kayla are members of the school chess team. They record the number of games they each play for 10 days. The data are shown.
Becker: 5,2,4,1,1,4,5,3,2,1
Kayla: 2,3,1,1,4,1,5,3,5,5
Based on the data, which estimate represents the mean number of games chess team members play per day?
Question 1 options:
1
3
4
10
Find the shaded area.
Answer:
13.73
Step-by-step explanation:
Answer: 13.7345175425633 square feet
The rounding instructions are cut off, so it's not clear how you want to round this.
========================================================
Explanation:
The area of the square is 8*8 = 64 square feet.
The two unshaded semicircles combine to form a full circle of radius 4 ft. This circle has an area of A = pi*r^2 = pi*4^2 = 16pi square feet.
The shaded area is the result of taking the circle area away from the larger square area
shaded area = (area of large square) - (area of two semicircles)
shaded area = (area of large square) - (area of circle with radius 4)
shaded area = 64 - 16pi = exact value
shaded area = 13.7345175425633 = approximate value
Which fraction is equivalent to 4/-9? A. -4/-9 B. 9/4 C.-9/4 D. -4/9
Answer:
-4/9 ,Option d
Step-by-step explanation:
4/-9
=-4/9
-4/-9=4/9 which is not equivalent
=9/4 is not equal to 4/-9
=-9/4 is not equal to 4/-9
Which numbers are irrational? Select all that apply.
0 9/15
0 v18
0 v9
0 v169
0 v78
0 3.14
The correct question is;
Which numbers are irrational? Select all that apply.
A) 9/15
B)√18
C)√9
D) √169
E) √78
F)π = 3.14...
Answer:
The irrational numbers are;
√18 ; √78 and π = 3.14...
Step-by-step explanation:
An irrational number is a number that cannot be written as the ratio of two integers. Its decimal form does not stop and does not repeat.
Thus;
A) 9/15 = 0.6 It's decimal stops after 6 and thus it is not irrational
B) √18 = 4.242640687119285.... The decimal doesn't repeat and the continuous dots means it's decimal doesn't stop. Thus it is an irrational number
C) √9 = 3. Doesn't have a repeating or continuous decimal and thus it's not irrational
D) √169 = 13. Doesn't have a repeating or continuous decimal and thus it's not irrational
E) √78 = 8.831760866327846......
The decimal doesn't repeat and the continuous dots means it's decimal doesn't stop. Thus it is an irrational number
F) π = 3.14.... The continuous dots means it's decimal doesn't stop. The decimal doesn't repeat and so, it's an irrational function
Answer:
v18
v78
3.14
Step-by-step explanation:
Which numbers are irrational? Select all that apply.
StartFraction 9 Over 15 EndFraction
StartRoot 18 EndRoot
StartRoot 9 EndRoot
StartRoot 169 EndRoot
StartRoot 78 EndRoot
Pi
Which exponential functions have been simplified correctly? Check all that apply.
The net below can be folded to form a square pyramid atop a cube. The net consists of 5 congruent squares and 4 congruent triangles.
What is the surface area of the composite solid that can be formed by this net?
80 cm2
120 cm2
144 cm2
160 cm2
Answer:
144cm2
Step-by-step explanation:
Hope this helps
The surface area of a composite solid is 144 cm².
How much extra space does the net use?
The net is made up of three parallel rectangles and an equal number of equal triangles. The surface area is a total of five shapes. To find the location of a triangle, you need to know the height of the triangle.
What is a strong combination?
A solid composite is a solid, or solid, two or more solids. Solid materials are usually made of prisms, pyramids, cones, cylinders, and spheres.
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A rectangle has length x and width y.
The perimeter of the rectangle is 32.
Part A
Write an equation that represents the relationship between x and y described above.
Answer:
2x + 2y = 32
Step-by-step explanation:
2 sides of each rectangle are always equal to each other, and there's 2 pairs of that, top&bottom and side&side
The perimeter is all the sides added together, so it's x + x +y +y, which can be written as 2x + 2y
The relationship between the length (x) and width (y) of a rectangle with a perimeter of 32 can be represented by the equation 2*(x+y)=32, derived from the formula for the perimeter of a rectangle.
Explanation:The subject of this question is mathematics, specifically relating to geometry and algebra. To express the relationship between the length, x, and width, y, of a rectangle with a perimeter of 32, you can form an equation based on the formula for the perimeter of a rectangle.
The formula for the perimeter of a rectangle is 2*(length+width). In this case, the length is x and the width is y, and we know that the total perimeter is 32. This can be expressed in the following equation: 2*(x+y) = 32.
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How many milliliters equal 54.7 liters?
Answer:
54700
Step-by-step explanation:
Answer:
Their are 54700 milliliters in a liter
Step-by-step explanation:
The Pyramid of Khafre in Egypt stands 471 feet tall. The sides of its square base are 705 feet in length. Find the lateral surface area of the Pyramid of Khafre. (Hint: Use the Pythagorean Theorem to find the pyramid’s slant height)
Answer:
Lateral surface area = 4 (1/2 × 705 × 588.30) = 829503 ft²
Step-by-step explanation:
The pyramid is a square base pyramid. The height = 471 ft. The sides of the square base pyramid = 705 ft.
To calculate the lateral area of the square base pyramid we have to know the slant height. The slant height can be known by using Pythagoras theorem to solve for it.
c² = a² + b²(Pythagoras theorem)
base = b = 705/2 = 352.50 ft
c² = 352.50² + 471²
c² = 124256.25 + 221841
c² = 346097.25
square root both sides
c = √346097.25
c = 588.300305966
c ≈ 588.30 ft
slant height = 588.30 ft
Lateral surface area = sum of area of the 4 triangular faces
lateral surface area = 4 (1/2 × base × height)
Lateral surface area = 4 (1/2 ×705 × 588.30) = 829503 ft²
Answer:
829503.6
Step-by-step explanation:
HELP ASAPP !!!
A. x=60;y=140
B. x=60;y=70
C. x=105;y=95
D. x=105;y=47.5
Answer:
B
Step-by-step explanation:
Y look like it's close to 90 degrees.
The town Diego lives in has a population of about 16,000. Describe all the numbers that, when rounded to the nearest hundred, round to the 16,000. Numbers greater than or equal to_________and less than________
Answer:
Numbers greater than or equal to 15950 and less than 16050.
Step-by-step explanation:
Given:
The town Diego lives in has a population of about 16,000
To fill: the blanks
Solution:
Numbers 15950, 15951, 15952, 15953,...., 16000, 16001, 16002,..., 16049 are rounded off to 16,000 when rounded to the nearest hundred.
In other language, numbers greater than or equal to 15950 and less than 16050
Numbers greater than or equal to 15950 and numbers less than or equal to 16049 will round round to 16000 when rounded to the nearest hundred.
To round to the nearest hundred :
When the value of the tens digit is greater than or equal to 5, it is rounded up to 1 and added to the hundred digit If the tens digit is less than 5, it is rounded to 0.15950, tens digit is 5, when rounded to 1 and added to the hundred digit, we have 16,00016049 ; tens digit is 4, it is rounded to 0 a d we have 16000Therefore, Values below 15950 and beyond 16049 will not round to 16000(to the nearest hundred).
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Graph a line that contains the point ( 3 , -6) and has a slope of 1/2
1/2x - 7.5Step-by-step explanation:The image below shows proof that the equation y = 1/2x - 7.5
Step-by-step explanation:
The equation of the line contains the point ( 3 , -6) graph is shown below.
Since the point (3, -6) lies on the line, we can use the point-slope form of linear equations to find the equation of the line, which is:
[tex]y - y_1 = m(x - x_1)[/tex]
where [tex](x_1, y_1)[/tex] is the point on the line and m is the slope of the line.
Substituting in (3, -6) and m = 1/2, we get:
y - (-6) = 1/2(x - 3)
y + 6 = 1/2x - 3/2
y = 1/2x - 3/2 - 6
y = 1/2x - 9/2
To graph the line, we can start by plotting the point (3, -6). Then, we can use the slope to find another point on the line.
Since the slope is 1/2, it means that for every 1 unit we move up, we must also move 2 units to the right.
Therefore, we can move 2 units to the right and 1 unit up from (3, -6) to find the point (5, -5). We can then plot this point and connect the two points with a line.
Here is a graph of the line that contains the point (3, -6) and has a slope of 1/2:
The graph shows that the line passes through the point (3, -6) and has a positive slope.
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Everfi module 3 budgeting for wants
Answer:
The budget breakdown is as follows;
Savings = $354.00
Clothing = $88.50
Entertainment = $88.50
Charitable giving = $44.00
Amount left = $0.00
Step-by-step explanation:
In the budgeting process, needs and the recurring expenditures are first addressed followed by savings which consists of emergency funds that can be used on unexpected expenses and reduces the tendency for borrowing.
Therefore, the appropriate amount for savings in a budget is found from the 50-20-30 rule.
That is the after tax income is weighted to 100 from which;
50% is expended on needs and recurring expenditures
20% of the after tax income should be kept as savings and
30% can be spent on wants
Based on the above rule, with a take home pay of $1,770 we have;
Amount meant for savings = 20% of $1,770 = $354.00
Since $354.00 is to be kept as savings we have;
Amount on Clothing + Entertainment + Charitable = $575 - $374 = $221
The amount on clothing should be 5% of the monthly income, which gives;
5% of $1,770 = 0.05× $1,770 = $88.5
Therefore amount on entertainment which should also be 5% =$88.5
Hence the amount for charitable giving = $221 - $88.5 - $88.5 = $44.00
Hence the budget breakdown should be;
Savings = $354.00
Clothing = $88.50
Entertainment = $88.50
Charitable giving = $44.00
Amount left = $0.00.
Budget represents financial plan over a period of time.
The money would be allocated as follows:
[tex]Savings = \$354[/tex][tex]Clothing = \$88.5[/tex][tex]Entertainment = \$88.5[/tex][tex]Charitable\ Giving = \$44[/tex]The total home pay is given as:
[tex]Total = \$1770[/tex]
In budget, 20% are always allocated to savings.
So, we have:
[tex]Savings = 20\% \times Total[/tex]
[tex]Savings = 20\% \times \$1770[/tex]
[tex]Savings = \$354[/tex]
The amount to spend is given as:
[tex]Spend = \$575[/tex]
The amount left, after savings is:
[tex]Amount = Spend - Savings[/tex]
[tex]Amount = \$575 - \$354[/tex]
[tex]Amount = \$221[/tex]
The $221 would be spent on entertainments, clothing and charitable givings.
In budgets, 5% of total home pay is always allocated for entertainments and for clothing.
So, we have:
[tex]Clothing = 5\% \times Total[/tex]
[tex]Clothing = 5\% \times \$1770[/tex]
[tex]Clothing = \$88.5[/tex]
Also
[tex]Entertainment = Clothing = \$88.5[/tex]
The amount on charitable giving is:
[tex]Giving = Amount\ Left - Entertainment - Clothing[/tex]
[tex]Giving = \$221 - \$88.5 - \$88.5[/tex]
[tex]Giving = \$44[/tex]
Hence, the money would be allocated as follows:
[tex]Savings = \$354[/tex]
[tex]Clothing = \$88.5[/tex]
[tex]Entertainment = \$88.5[/tex]
[tex]Charitable\ Giving = \$44[/tex]
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A pyramid with a square base with dimensions 12 by 7 is shown. A cone is cut out of the center of the pyramid. The cone has a height of 10 and a diameter of 6. Which expressions represent the volume of the composite figure (the shaded figure)? Check all that apply. (7)(12)(10) – π(32)(10) One-third(7)(12)(10) – One-thirdπ(32)(10) One-third(7)(12)(10) + One-thirdπ(32)(10) 280 – 30π 280 + 30π 840 – 90π
Answer:
the 2nd one and 4th one
Step-by-step explanation:
i just did it
The expressions for the volume of the composite pyramid figure is given by A = One-third(7)(12)(10) - One-thirdπ(32)(10) = 280 - 30π
What is the volume of a pyramid?The volume of a pyramid, is the product of the area of its base with the height of the pyramid, and divide by 3. We express this product with the formula V = ( 1/3) ×B×h, where B is the area of the base of the pyramid, and h is its height.
Volume of Pyramid = ( 1/3 )a²H
Given data ,
A pyramid with a square base with dimensions 12 by 7 is shown. A cone is cut out of the center of the pyramid.
The cone has a height of 10 and a diameter of 6.
The correct expression to represent the volume of the composite figure (the shaded figure) is:
One-third(7)(12)(10) - One-thirdπ(3)²(10) = 280 - 30π
So the expressions that apply are:
One-third(7)(12)(10) - One-thirdπ(32)(10) = 280 - 30π
Hence , the volume of pyramid is 280 - 30π
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In the figure below, find the exact value of y. (Do not approximate your answer.)
Answer:
I need the answer
Step-by-step explanation:
PLEASE HELP I AM BEING TIMED. I AM VERY CONFUSED
Answer:
True
Step-by-step explanation:
Answer:
I’m Pretty sure its true but if not sorry.
Step-by-step explanation:
PLEASE HELP ME!! f(x) = -4x2 + 10x – 8
What is the value of the discriminant of f?
How many distinct real number zeros does f have?
The discriminant of the quadratic function f(x) = -4x^2 + 10x - 8 is -28. Since the discriminant is negative, there are no distinct real number zeros for this function.
Your question involves finding the discriminant of the quadratic function f(x) = -4x2 + 10x - 8 and determining how many distinct real number zeros it has. The discriminant of a quadratic equation in the form ax2 + bx + c is given by b2 - 4ac. In your case, a = -4, b = 10, and c = -8. Let's calculate the discriminant:
b2 - 4ac = (10)2 - 4(-4)(-8)
b2 - 4ac = 100 - 128
b2 - 4ac = -28
Since the discriminant is negative (b2 - 4ac < 0), the quadratic function f(x) has no real number of zeros. Therefore, the graph of the function does not cross the x-axis, and there are no distinct real roots.